Information on Result #1187790
Digital (184, 215, 17479)-net over F4, using net defined by OOA based on linear OOA(4215, 17479, F4, 31, 31) (dual of [(17479, 31), 541634, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(4215, 262186, F4, 31) (dual of [262186, 261971, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4215, 262187, F4, 31) (dual of [262187, 261972, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(4215, 262187, F4, 31) (dual of [262187, 261972, 32]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (185, 216, 17479)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (186, 217, 17479)-net over F4 | [i] | ||
| 3 | Digital (187, 218, 17479)-net over F4 | [i] | ||
| 4 | Digital (188, 219, 17479)-net over F4 | [i] | ||